FA-63802 / Actuarial life tables / Member archive
Cohort rates from a period table: Years before the table are silently back-filled · case 02
Old cohorts are given rates from later years.
Case contract
Input table {year: [q per 100000 by age from 0]}, cohort birth year, ages a0..a1. Cohort rate at age a is table[cohort+a][a]; years after the last tabulated year use the last year; years before the first -> 'missing year <y>'; missing ages -> 'missing age <a>'. Return [rates, survival over the ages rounded 8].
Why this case matters
Life-table arithmetic compounds across ages, so one misplaced index or assumption shifts every downstream value.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| cohort starts before first year | [[535, 542, 549, 556, 563, 570, 574, 578], 0.95619323] | "missing year 1995" | Failed |
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